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Finding the Third Proportional to 115,020 and 256,824

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Solution

The third proportional to 115,020 and 256,824 is: 573,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,020 : 256,824 = 256,824 : x
  2. Step 2: Convert to fraction form
    115,020/256,824 = 256,824/x
  3. Step 3: Cross multiply
    115,020x = 256,824 × 256,824
  4. Step 4: Simplify right side
    115,020x = 65,958,566,976
  5. Step 5: Solve for x
    x = 65,958,566,976/115,020
  6. Step 6: Final answer
    x = 573,453.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.